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Finding the Fourth Proportional to 582,942.26, 804,462 and 337,974.64

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Solution

The fourth proportional to 582,942.26, 804,462 and 337,974.64 is: 466,405.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,942.26 : 804,462 = 337,974.64 : x
  2. Step 2: Convert to fraction form
    582,942.26/804,462 = 337,974.64/x
  3. Step 3: Cross multiply
    582,942.26x = 804,462 × 337,974.64
  4. Step 4: Simplify right side
    582,942.26x = 271,887,754,843.68
  5. Step 5: Solve for x
    x = 271,887,754,843.68/582,942.26
  6. Step 6: Final answer
    x = 466,405.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.